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Drawing function with 3 variables in a graph

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71827] Drawing function with 3 variables in a graph
  • From: royend at gmail.com
  • Date: Thu, 30 Nov 2006 06:05:35 -0500 (EST)

I want to draw a fairly complex function several times in one graph. By
using different colour I hope to present the development of my function
as the three variables changes.

Earlier I have managed two variabels by using this:
Plot[Evaluate[ { Table[ f[t,m], {m,0,5}] } ], {t,-20,20},
PlotStyle->etc]

But this time I have met difficulties because one of my variables are
"hidden" inside the function f(t,m), like this:
g(a) = a/2
f(t) = m*g(a)^t
m,a and t are variables.

Therefore I need to control 3 variables and have tried this:
With[ {a=5}, Plot[ same as above]....

I have read some about lists, graphics and so on but still haven't been
able to find any solution. 
Do you have any tips for solving this?


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